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Finding the Fourth Proportional to 5,659.81, 8,488.98 and 1,500.07

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Solution

The fourth proportional to 5,659.81, 8,488.98 and 1,500.07 is: 2,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.81 : 8,488.98 = 1,500.07 : x
  2. Step 2: Convert to fraction form
    5,659.81/8,488.98 = 1,500.07/x
  3. Step 3: Cross multiply
    5,659.81x = 8,488.98 × 1,500.07
  4. Step 4: Simplify right side
    5,659.81x = 12,734,054.70
  5. Step 5: Solve for x
    x = 12,734,054.70/5,659.81
  6. Step 6: Final answer
    x = 2,249.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.